Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 12/x=3
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Equation 7x-9=40
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Equation 4*x+7=0
- Equation 2x+y=5
- Express {x} in terms of y where:
- -6*x-11*y=-20
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- -1*x-15*y=13
- 2*x+y
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Identical expressions
- two *x+y= thirty-seven thousand, one hundred
- 2 multiply by x plus y equally 37100
- two multiply by x plus y equally thirty minus seven thousand, one hundred
- 2x+y=37100
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Similar expressions
- arcsin(x)*y=2^(x+y)-5
- 2*x-y=37100
- 0,3x+0,03y=0,12(x+y)
- 2x+y=5
2*x+y=37100 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$2 x = 37100 - y$$
Divide both parts of the equation by 2
We get the answer: x = 18550 - y/2
2*x+y = 37100
Looking for similar summands in the left part:
y + 2*x = 37100
Move the summands with the other variables
from left part to right part, we given:
$$2 x = 37100 - y$$
Divide both parts of the equation by 2
x = 37100 - y / (2)
We get the answer: x = 18550 - y/2
The graph
Sum and product of roots
[src]
sum
re(y) I*im(y)
18550 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 18550$$
=
re(y) I*im(y)
18550 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 18550$$
product
re(y) I*im(y)
18550 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 18550$$
=
re(y) I*im(y)
18550 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 18550$$
18550 - re(y)/2 - i*im(y)/2
Rapid solution
[src]
re(y) I*im(y)
x1 = 18550 - ----- - -------
2 2
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 18550$$
x1 = -re(y)/2 - i*im(y)/2 + 18550